Model bends, valves, and entrances with ease. Switch units, sum coefficients, or build a list. Get clear results for design checks and reports fast.
Minor losses occur at fittings, valves, entrances, exits, and local geometry changes. The standard relation uses a dimensionless loss coefficient ΣK multiplied by the dynamic pressure:
If you prefer head loss instead of pressure, the equivalent head is:
ΣK depends on fitting type, geometry, and flow regime. Use manufacturer data when available.
Sample cases below illustrate typical inputs. Replace with your design values.
| Case | Components | ΣK | ρ (kg/m³) | v (m/s) | ΔP (kPa) |
|---|---|---|---|---|---|
| 1 | Entrance + 2 elbows | 2.30 | 998 | 2.50 | 7.17 |
| 2 | Exit + ball valve | 1.05 | 998 | 1.80 | 1.70 |
| 3 | Globe valve | 10.00 | 998 | 2.00 | 19.96 |
| 4 | Sudden contraction | 0.50 | 850 | 3.00 | 1.91 |
| 5 | Long-radius elbows (4) | 0.16 | 998 | 2.20 | 0.39 |
Example ΔP values use ΔP = ΣK·½ρv² and are approximate.
Minor losses are pressure drops caused by local disturbances in internal flows. Common sources include bends, tees, reducers, entrances, exits, strainers, and control valves. Although each element is short, the cumulative effect can dominate system performance in compact piping, skid packages, and HVAC manifolds.
The loss coefficient K is dimensionless and is usually obtained from laboratory measurements, manufacturer curves, or validated handbooks. K depends on geometry details such as elbow radius ratio, valve trim, contraction ratio, and surface condition. When available, use supplier data for the specific product family.
This calculator uses the standard minor-loss relation ΔP = ΣK·(½ρv²). The term ½ρv² is the dynamic pressure, scaling strongly with velocity. If velocity doubles, dynamic pressure increases by a factor of four, and the pressure loss rises proportionally for the same ΣK.
You can enter velocity directly or compute it from flow rate and internal diameter. Using internal diameter is important because small differences change area and therefore v. For design studies, typical liquid velocities are 1–3 m/s, while gas velocities vary widely with noise, erosion, and compressor limits.
Minor losses add by summing K values for each element in the flow path. The list mode helps document each component, its quantity, and its contribution. In network models, combine minor losses with distributed friction losses to estimate pump head, fan pressure, and operating point shifts.
Typical values are application-specific, but many systems fall within practical bands. A sharp entrance is often around K≈0.5, an exit to a reservoir around K≈1.0, a standard 90° elbow can be near K≈0.9, and a fully open globe valve can approach K≈10. These numbers justify careful valve selection.
K is often treated as constant in turbulent flow, but it can vary in transitional or laminar regimes. The optional Reynolds estimate provides context when viscosity and diameter are supplied. If Re is low, consult references that account for regime dependence or use validated empirical correlations.
For professional reporting, record density, velocity basis, and the full ΣK breakdown. Confirm units and verify that computed pressure drops are reasonable compared with available pump head or upstream pressure. Export results to CSV or PDF for design reviews, commissioning notes, and maintenance documentation.
Major losses come from wall friction along pipe length. Minor losses come from local fittings, valves, and geometry changes. Both contribute to total pressure drop and should be included in energy and pump sizing checks.
Use internal diameter because velocity depends on flow area. Nominal size can be misleading due to wall thickness differences across schedules. If you only know nominal size, convert it to the correct internal diameter first.
Typical K values are suitable for preliminary estimates and comparisons. For final design, use manufacturer data, validated references, or test data that matches the exact component geometry and operating conditions, especially for control valves.
Minor losses scale with dynamic pressure, ½ρv². Because velocity is squared, small increases in flow can cause large increases in ΔP. This is why short systems with many fittings can become flow-limited.
Yes, if you enter an appropriate gas density at operating conditions. For compressible flow with large pressure changes, density may vary along the line. In that case, use segment modeling or a compressible analysis method.
Use the list mode and group repeating elements with quantities. Summing ΣK keeps your assumptions transparent and makes audits easier. For large systems, consider exporting results and maintaining a fitting schedule in a separate worksheet.
If the flow is viscous, low-speed, or small-diameter, Reynolds number can be low and K may change. Provide viscosity and diameter to estimate Re. If Re is transitional or laminar, confirm K using regime-aware references.
Important Note: All the Calculators listed in this site are for educational purpose only and we do not guarentee the accuracy of results. Please do consult with other sources as well.